Conditional Probability Quiz: Test Your Knowledge

10 Questions

The event of James winning a race

1/2

1/4

Conditional probability

$P(A|B) = \frac{P(A \cap B)}{P(B)}$

$P(A \cap B)$

The part of event A that is affected by event B

The part of event B that has occurred

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

Study Notes

Variable B represents an event in probability theory.
The probability of event A occurring is a measure of the likelihood of event A happening.
The probability of event B occurring is a measure of the likelihood of event B happening.
The conditional probability P(A|B) is the probability of event A occurring given that event B has already occurred.

Bayes theorem relies on conditional probability and is used to update the probability of an event based on new information.
The formula for the probability of event A given event B has already occurred is P(A|B) = P(B|A) * P(A) / P(B).
The probability of event A and event B happening together is represented by P(A ∩ B) = P(A|B) * P(B) = P(B|A) * P(A).
In a Venn diagram, the blue shaded area typically represents the probability of event A occurring (P(A)).
The red shaded area typically represents the probability of event B occurring (P(B)).
The formula for event B given event A has already occurred is P(B|A) = P(A|B) * P(B) / P(A).

Master the Concept of Conditional Probability with This Quiz!